85346742 has 32 divisors (see below), whose sum is σ = 186052608. Its totient is φ = 25942176.

The previous prime is 85346741. The next prime is 85346761. The reversal of 85346742 is 24764358.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 85346742.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85346741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118 + ... + 13065.

It is an arithmetic number, because the mean of its divisors is an integer number (5814144).

Almost surely, 2^85346742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85346742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93026304).

85346742 is an abundant number, since it is smaller than the sum of its proper divisors (100705866).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85346742 is a wasteful number, since it uses less digits than its factorization.

85346742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13284.

The product of its digits is 161280, while the sum is 39.

The square root of 85346742 is about 9238.3300438986. The cubic root of 85346742 is about 440.2800249167.

The spelling of 85346742 in words is "eighty-five million, three hundred forty-six thousand, seven hundred forty-two".